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The Error Threshold of Creation

Logic-based limits on prebiotic heredity // May 2026

Abstract: The transition from abiotic chemistry to biological life is governed by a fundamental mathematical constraint: the Error Threshold. This paper explores the logic-based limits that prebiotic systems must navigate to achieve Phase IV and V of the 7-Stage Roadmap.

1. The Paradox of Fidelity

Before complex enzymes existed, early chemical replicators faced a fundamental challenge. High-fidelity replication requires complex machinery, but complex machinery cannot be maintained without high-fidelity replication. This "Catch-22" creates a mathematical ceiling on the length of early genetic information.

2. Autocatalytic Coupling

To bypass the single-molecule error threshold, the Bivology framework proposes Autocatalytic Sets (ACS). In this model, the network itself is the unit of heredity. By distributing information across multiple simpler chemical reactions, the system can sustain higher total complexity than any individual molecule could alone.

3. The Thermodynamic Barrier

Heredity is not just about copying; it is about resisting entropy. For a system to progress to Phase V, there must be a constant energy flux (feedstocks) to "force" reactions. If the chemical "memory" vanishes faster than the environment provides energy, the system reverts to simple synthesis.

4. Radical Paths: High-Friction Origin

Most research seeks a "smooth" path to life. We propose a "High-Friction" path involving:

5. Conclusion

The final threshold occurs when the logical framework of the system becomes independent of its specific chemical feedstock. This is true autonomy.